 Cantor's Attic  Hamkins, Joel David; and Gitman, Victoria
This "home of large cardinal concepts online" offers a complete account of all the various concepts of infinity in mathematics, particularly a detailed account of the concepts of infinity arising in the large cardinal hierarchy. The wiki includes an
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 Carlo Emilio Bonferroni  Michael Dewey, University of Nottingham
A brief description of Bonferroni's life and works, including Bonferroni's inequalities and his interest in algebraic means. With bibliographies.
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 Category Theory  JeanPierre Marquis
An entry in the Stanford Encyclopedia of Philosophy covers category theory's definitions, history, and philosophical significance. Also includes a bibliography.
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 CelLab  Rudy Rucker and John Walker
Programs to explore cellular automata, for Windows or MSDOS, which allow you to view preset patterns, or create your own rules using Java, C, Basic, or Pascal. Download a copy or subscribe to a mailing list. The substantial User's Manual includes bibliographies
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 Center for Proficiency in Teaching Mathematics
Strengthening the system of professional education that supports teachers of mathematics throughout their careers. The Center for Proficiency in Teaching Mathematics (CPTM) worked with teacher educators from 2 and 4year higher education institutions,
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 Centre for the Popularisation of Mathematics  Ronnie Brown, School of Mathematics, University of Wales, Bangor
The Centre's goal is to present Mathematics to as wide as possible an audience, and to give an impression for mathematics of its objects of study, methodology, successes and applications, enjoyment, and the wider context. Includes the WWW version of the
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 Chaos at Maryland  The Chaos Group, the University of Maryland at College Park
Research in chaotic dynamics: the theory of dimensions, fractal basin boundaries, chaotic scattering, controlling chaos, and more. Read research papers, link to Daniel P. Lathrop's Nonlinear Dynamics Lab and the Pattern Formation Laboratory, learn about
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 Chaos Demonstrations  Michael Cross
Two versions each of three Java applets  an "old, stable" version and a "new, trial" version for the Period Doubling Route to Chaos, the Lorenz Attractor and the Butterfly Effect, and Chua's Circuit. Created for an introductory course on Chaos at Caltech
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 The Chaos Hypertextbook: Mathematics in the Age of the Computer  Glenn Elert
Formerly titled "Chaos, Fractals, Dimension": an illustrated paper submitted for the author's M.S. in secondary science education from Columbia. Contains chapters on: Mathematical Experiments (Iteration and Orbits, Orbit and Bifurcation Diagrams, Universality);
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 Chinese Mathematics  MacTutor Math History Archives
Articles on mathematics in Chinese culture: An Overview of Chinese Mathematics; Nine Chapters on the Mathematical Art; The Ten Mathematical Classics; Chinese Numerals; and Chinese Problems. Also an alphabetical list of Chinese mathematicians, linked to
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 Christianity and the Mathematical Sciences  the Heliocentric Hypothesis  MacTutor Math History Archives
Linked essay on Christianity's influence on the mathematical sciences. With references and other related web sites.
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 A chronology of pi  MacTutor Math History Archives
Precomputer calculations of pi, from the Rhind papyrus through Ferguson (1946); computer calculations from Ferguson (1947) through Kanada, Takahashi (Sept 1999). With references and other related web sites.
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 ChronoMath: Petite Chronologie des Mathématiques  S. Mehl
Travaux fondamentaux de l'histoire des maths de l'Antiquité à nos jours. Le site dispose d'une vaste documentation et d'une bibliographie. An extensive site on math history, in French, with bibliography.
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 Classical and Quantum Chaos, A Cyclist Treatise  Predrag Cvitanovic'
An online textbook on chaotic systems and dynamics, including exercises, solutions, and a guide to related literature. Read the book online in hyperlinked PDF format, or download it as a gzipped PostScript file. By the CATS cyclist team: Cvitanovic',
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 Cálculo para la Ingeniería  Salvador Vera Ballesteros
Temas, Problemas, Exámenes, Enlaces.
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 The Collection of Computer Science Bibliographies on Mathematics  AlfChristian Achilles; Computer Science Bibliography Collection
A collection of bibliographies of scientific literature in computer science from various sources, covering most aspects of computer science. Math journals range from Mathematical Physics to the Mathematics of Computation to Applied Mathematics and Computation.
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 A Common Book of Pi  Neal Carothers
A brief history of extended precision approximations of pi, including Archimedes' method for estimating pi, a proof that pi is irrational, a page full of formulas used to estimate pi over the centuries, and a brief look at a modern algorithm used to compute
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 The Community of Ordinary Differential Equations Educators  Yong, Darryl; and Borrelli, Robert, Principal Investigators
The Community of Ordinary Differential Equations Educators (CODEE) seeks to improve the teaching and learning of ordinary differential equations (ODEs) through modeling, computer experiments, and other active learning projects. Freely download expository
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 COMPASS: Curricular Options in Mathematics Programs for All Secondary Students  Linda A. Roach
COMPASS provides information and assistance with the implementation of five comprehensive curriculum projects that support the Standards set forth by the National Council of Teachers of Mathematics (NCTM): Application Reform in Secondary Education (ARISE);
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 A compendium of NP optimization problems  Crescenzi & Kann
A continuously updated catalog of approximability results for NP optimization problems. Because no NPcomplete problem can be solved in polynomial time (unless P=NP), many approximability results (both positive and negative) of NPhard optimization problems
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 Computability Theory  Peter Cholak
A resource for computability theorists. Includes a Bibliographic Database for Computability Theory; Open Questions in Recursion Theory: LaTeX or dvi; a link to the Association for Symbolic Logic; and links to pages of people who work (or have worked)
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 Computational Geometry Pages  Jeff Erickson
A comprehensive directory of computational geometry resources both on and off the Internet. General Resources, Literature, Research and Teaching, Events, Software, other links. Also found at http://compgeom.cs.uiuc.edu/~jeffe/compgeom/.
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 Computational Geometry Resources  School of Computer Science, Carleton Univ., Ottawa, Ontario, Canada
A comprehensive listing of computational geometry resources on the Internet, including: Indexes; Centres in North America, Europe, and Australasia; Literature; Newsgroups, FAQs, and Newsletters; Software libraries; and other miscellaneous sites.
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 Computational Mathematics Research Group  University of Brighton
Current areas of research include bubble dynamics, acoustics, diffusion in gels, and space plasmas. Read their bibliography of recent publications.
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 Computer Algebra Information Network (CAIN)
A server providing information about Symbolic and Algebraic Computation, set up by the European SAC (Symbolic and Algebraic Computation) Network. The site maintains bibliographies, supports electronic newsletters, and announces current conferences, software
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 Computer Algebra Systems in Calculus Reform  Lisa Denise Murphy
A literature review that starts with a brief history of the calculus reform movement and goes on to describe several studies in which computer algebra
systems (CAS) were used in introductory calculus courses. With the beginnings of an annotated list
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 Confronting Technology  Lowell Monke
This site provides a variety of resources critically examining the relationship between human beings and technology, with specific resources on the way computers are used in education. They include: an annotated bibliography, a list of documents available
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 Consortium to Develop an Intelligent Mathematical Programming System (IMPS)  Harvey Greenberg; Dept. of Mathematics, Univ. of Colorado at Denver
Advances in computing technology have created a situation where we can solve larger problems than we can understand. This is true for most linear programs, and it is becoming increasingly true for nonlinear and integer forms. In addition, model management
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 Constants, Units, and Uncertainty  National Institute of Standards and Technology (NIST)
A reference with three sections: Fundamental Physical Constants (values of the constants and related information, and a searchable bibliography on the constants); the International System of Units (indepth information on the SI, the modern metric system),
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 Constructivism and Education: A Shopper's Guide  Moses A. Boudourides
A brief review of the various streams of constructivism in studies of education, society, science and technology: philosophical, cybernetic, educational, and sociological. A paper presented at the International Conference on the Teaching of Mathematics
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 Constructivism  Classroom Compass
The winter 1994 issue of Classroom Compass explores this theory of learning, including a brief literature summary and suggestions for the constructivist classroom. Two instructional activities (Which Container Holds the Most? for younger children and
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 Constructivism in mathematics education  what does it mean?  John and Annie Selden; The Math Forum
A presentation given at the Joint AMS/MAA Mathematics Meetings, January 1996, Orlando, Florida. Includes an annotated bibliography: Kinds of Constructivism.
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 Constructivist Views of Learning in Science and Mathematics (ERIC Digest)  Drew K. Ishii
An examination of constructivism and its implications for the classroom, with web and print resources for additional study.
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 Continued Fractions: an Introduction  Adam Van Tuyl
A brief introduction to the field of continued fractions, including some basic theory about the subject; the history of continued fractions, tracing some of the major developments in the field in the past 2500 years; some interactive applications that
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 Cooperative Learning  Classroom Compass
The fall 1994 issue of Classroom Compass looks at some aspects of cooperative learning and ways it can be implemented in the classroom. Two instructional activities, one providing suggestions for elementary students (Pumpkin Exploration) and one for higher
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 The Counterexamples in Functional Analysis Home Page  Mohammad Sal Moslehian
A collection of new and classic examples in functional analysis and operator theory for graduate students, nonspecialists and any interested reader. The examples are related to Banach and Hilbert Spaces, Operator Theory, Banach Algebras, Topological
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 Count On  Department for Education and Employment, UK
Activities and resources  some simple and some fancy  for parents, teachers, and students. Resources offers, among other things, guides: to mathematical misconceptions; for parents helping with homework; for promoters of math fairs; and for providers
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 Critical Issues in Mathematics (NCREL)  Pathways to School Improvement
Articles from the North Central Regional Educational Laboratory (NCREL). The Significance of the NCTM Standards; Ensuring Equity and Excellence in Mathematics; Locating, Using, and Integrating InternetBased Mathematics Materials; Providing HandsOn,
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 CrossAge Tutoring  Marah Fortson; Math Forum
An annotated bibliography: articles to help teachers deal with a classroom of learners with different abilities, different strengths and weaknesses, who are at different levels academically, behaviorally, and socially. The task of the teacher is a challenge,
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 Crossroads in Mathematics: Standards for Introductory College Mathematics Before Calculus  American Mathematical Association of TwoYear Colleges (AMATYC)
A searchable book on the Web that addresses the need to establish standards for the mathematics programs that bridge the gap between high school mathematics and college calculus. It also aims to satisfy the needs of students who do not plan to study calculus.
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 Crystallographic Topology  Johnson, Burnett, Oak Ridge National Laboratory
The Topology of Crystallographic Groups and Simple Crystal Structures. A tutorial on some applications of Geometric Topology to Crystallography. The topology of crystallographic groups is approached using orbifolds, and that of simple crystal structures
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 Cubic surfaces  MacTutor Math History Archives
Linked essay on the history of surfaces of order three.
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 Culturally Situated Design Tools: Teaching Math through Culture  Ron Eglash
Java for creating your own Mangbetu design, cornrow curves, graffiti, bead looms, SimShoBan, Yupik star navigator, Yupik parka patterns, PreColumbian pyramids, and rhythm wheels  and learning the mathematics behind them. Organized into African, African
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 Cybernetics and Systems Theory  F. Heylighen; Principia Cybernetica Web
General background material on the field of Cybernetics and Systems Science (also: (General) Systems Theory or Systems Research), an academic domain that touches virtually all traditional disciplines, from mathematics, technology, and biology to philosophy
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 Dana Mackenzie
Author of The Universe in Zero Words and The Big Splat, or How Our Moon Came to Be, freelance mathematics and science writer Dana Mackenzie also contributes to the series What's Happening in the Mathematical Sciences published by the American Mathematical
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 Data Gathering and Analyzing  Carol Hurst's Children's Literature Site: K2
A sample chapter from
Picturing Math by Carol Otis Hurst and Rebecca Otis (SRA/McGrawHill, 1996, ISBN 0026873672). "When we look up information to answer a question or to formulate new questions, we are gathering and analyzing data. When we conduct
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 David Bruce Wilson
David Bruce Wilson researches probability, combinatorics, and theoretical computer science. Abstracts of his articles on these subjects are available on the web and may be downloaded in PostScript or .dvi formats. Software available for download includes
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 David Royster's Home Page  Dept. of Mathematics, Univ. of North CarolinaCharlotte
Research and Scholarly Interests  Papers: Algebraic and Differential Topology; Use of Computer Algebra Systems in Mathematics Education. See also MAED 3103, a course for Secondary School mathematics teachers covering material drawn from Algebra I and
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 Departamento de Didáctica de la Matemática  Universidad de Granada
The University of Granada's Department of Mathematics Instruction features research groups, each with bibliographies of downloadable publications and other resources, on numerical thinking (pensamiento numérico), statistics education (educación
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 Department of Science & Mathematics Education: Research and Development  Univ. of Melbourne, Australia
Read faculty research and learn about their projects and interests: children's understanding of statistical and probabilistic concepts; the negotiation of meaning in mathematics & science classrooms (The Classroom Project); the expression of algorithms
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